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LCM of 416, 234, 629, 691, 425

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 416, 234, 629, 691, 425 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 416, 234, 629, 691, 425. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,234,629,691,425

Given numbers are 416,234,629,691,425

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 416,234,629,691,425 is 40682210400.

Find LCM of 416,234,629,691,425 with Prime Factorization


2 416, 234, 629, 691, 425
13 208, 117, 629, 691, 425
17 16, 9, 629, 691, 425
16, 9, 37, 691, 25

Multiply the prime numbers at the bottom and the left side.

2 x 13 x 17 x 16 x 9 x 37 x 691 x 25 = 40682210400

Therefore, the lowest common multiple of 416,234,629,691,425 is 40682210400.

LCM Formula to Find Lowest Common Multiple of 416,234,629,691,425

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

416 x 234 x 629 x 691 x 425 = 17981536996800

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

629 : 1, 17, 37, 629

691 : 1, 691

425 : 1, 5, 17, 25, 85, 425

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,234,629,691,425, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

234:2x 3x 3x 13

629:17x 37

691:691

425:5x 5x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13x 17 = 442

Therefore, the value for common factors is 442.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 17981536996800/(1x442)

LCM = 17981536996800/442

LCM = 40682210400

Thus, we can understand that the LCM of 416,234,629,691,425 is 40682210400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 234, 629, 691, 425

1. What is the LCM of 416, 234, 629, 691, 425?

Answer: LCM of 416, 234, 629, 691, 425 is 40682210400.

2. How to calculate the LCM of 416, 234, 629, 691, 425?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 416, 234, 629, 691, 425.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.